Number Sequences.

1
Number Sequences.
Year 4

• TLI To recognise and extend number sequences
  formed by counting from any number in steps of
  constant size, extending beyond zero when
  counting back.

2
Sequences!
We all know this sequence of numbers! What is
the rule?
1 2 3 4 5 6 7 8 9
Of course its add one!
In today's lesson we are going to be looking at
lots of different sequences!
3
Look at these number sequences carefully can you
guess the next 2 numbers? What about guess the
rule?
10
30
40
50
60
70
80
3
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-----------------
17
20
29
26
23
32
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-7
48
41
34
27
20
13
4
Can you work out the missing numbers in each of
these sequences?
25
50
175
150
125
100
75
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-----------------
20
30
50
70
90
110
130
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-----------------
-5
171
176
181
191
196
186
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-----------------
-10
306
256
266
276
286
296
5
Now try these sequences think carefully and
guess the last number!
1, 2, 3
1
2
16
4
7
11
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-----------------
double
3
12
24
96
6
48
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-----------------
1.5
0.5
2
3.5
5
6.5
8
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-----------------
-3
7
-5
-2
1
4
-8
6
This is a really famous number sequence which was
discovered by an Italian mathematician a long
time ago. It is called the Fibonacci sequence and
can be seen in many natural things like pine
cones and sunflowers!!!
1 1 2 3 5 8 13 21 etc
Can you see how it is made? What will the next
number be?
34!
See if you can find out something about Fibonacci!
7
Guess my rule! For these sequences I have done 2
maths functions!
3
7
31
15
63
127
x2 1
x2 -1
2
3
33
17
9
5